Moving boundary PDE analysis: biomedical applications in R
Mathematical models stated as systems of partial differential equations (PDEs) are broadly used in biology, chemistry, physics and medicine (physiology). These models describe the spatial and temporial variations of the problem system dependent variables, such as temperature, chemical and biochemica...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
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Boca Raton
CRC Press
[2019]
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| Online-Zugang: | Volltext |
| Zusammenfassung: | Mathematical models stated as systems of partial differential equations (PDEs) are broadly used in biology, chemistry, physics and medicine (physiology). These models describe the spatial and temporial variations of the problem system dependent variables, such as temperature, chemical and biochemical concentrations and cell densities, as a function of space and time (spatiotemporal distributions). For a complete PDE model, initial conditions (ICs) specifying how the problem system starts and boundary conditions (BCs) specifying how the system is defined at its spatial boundaries, must also be included for a well-posed PDE model. In this book, PDE models are considered for which the physical boundaries move with time. For example, as a tumor grows, its boundary moves outward. In atherosclerosis, the plaque formation on the arterial wall moves inward, thereby restricting blood flow with serious consequences such as stroke and myocardial infarction (heart attack). These two examples are considered as applications of the reported moving boundary PDE (MBPDE) numerical method (algorithm). The method is programmed in a set of documented routines coded in R, a quality, open-source scientific programming system. The routines are provided as a download so that the reader/analyst/researcher can use MFPDE models without having to first study numerical methods and computer programming |
| Beschreibung: | OCLC-licensed vendor bibliographic record |
| Beschreibung: | 1 online resource |
| ISBN: | 9780415003087 0415003083 9780429275128 0429275129 9781000001044 1000001040 9781000007886 100000788X 9781000014402 1000014401 |
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| 520 | |a Mathematical models stated as systems of partial differential equations (PDEs) are broadly used in biology, chemistry, physics and medicine (physiology). These models describe the spatial and temporial variations of the problem system dependent variables, such as temperature, chemical and biochemical concentrations and cell densities, as a function of space and time (spatiotemporal distributions). For a complete PDE model, initial conditions (ICs) specifying how the problem system starts and boundary conditions (BCs) specifying how the system is defined at its spatial boundaries, must also be included for a well-posed PDE model. In this book, PDE models are considered for which the physical boundaries move with time. For example, as a tumor grows, its boundary moves outward. In atherosclerosis, the plaque formation on the arterial wall moves inward, thereby restricting blood flow with serious consequences such as stroke and myocardial infarction (heart attack). These two examples are considered as applications of the reported moving boundary PDE (MBPDE) numerical method (algorithm). The method is programmed in a set of documented routines coded in R, a quality, open-source scientific programming system. The routines are provided as a download so that the reader/analyst/researcher can use MFPDE models without having to first study numerical methods and computer programming | ||
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| 650 | 4 | |a Neoplasticism | |
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Datensatz im Suchindex
| _version_ | 1804181299529777152 |
|---|---|
| adam_txt | |
| any_adam_object | |
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| author | Schiesser, W. E. |
| author_facet | Schiesser, W. E. |
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| dewey-full | 616.99/400285 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 616 - Diseases |
| dewey-raw | 616.99/400285 |
| dewey-search | 616.99/400285 |
| dewey-sort | 3616.99 6400285 |
| dewey-tens | 610 - Medicine and health |
| discipline | Medizin |
| discipline_str_mv | Medizin |
| format | Electronic eBook |
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| spelling | Schiesser, W. E. Verfasser aut Moving boundary PDE analysis biomedical applications in R by William E. Schiesser Boca Raton CRC Press [2019] © 2019 1 online resource txt rdacontent c rdamedia cr rdacarrier OCLC-licensed vendor bibliographic record Mathematical models stated as systems of partial differential equations (PDEs) are broadly used in biology, chemistry, physics and medicine (physiology). These models describe the spatial and temporial variations of the problem system dependent variables, such as temperature, chemical and biochemical concentrations and cell densities, as a function of space and time (spatiotemporal distributions). For a complete PDE model, initial conditions (ICs) specifying how the problem system starts and boundary conditions (BCs) specifying how the system is defined at its spatial boundaries, must also be included for a well-posed PDE model. In this book, PDE models are considered for which the physical boundaries move with time. For example, as a tumor grows, its boundary moves outward. In atherosclerosis, the plaque formation on the arterial wall moves inward, thereby restricting blood flow with serious consequences such as stroke and myocardial infarction (heart attack). These two examples are considered as applications of the reported moving boundary PDE (MBPDE) numerical method (algorithm). The method is programmed in a set of documented routines coded in R, a quality, open-source scientific programming system. The routines are provided as a download so that the reader/analyst/researcher can use MFPDE models without having to first study numerical methods and computer programming HEALTH & FITNESS / Diseases / General bisacsh MEDICAL / Clinical Medicine bisacsh MEDICAL / Diseases bisacsh MEDICAL / Evidence-Based Medicine bisacsh MEDICAL / Internal Medicine bisacsh MATHEMATICS / Applied bisacsh MEDICAL / General bisacsh MEDICAL / Biotechnology bisacsh Atherosclerosis Neoplasticism Numerical analysis / Computer programs Deutsch (DE-588)4113292-0 gnd rswk-swf Dialektologie (DE-588)4040728-7 gnd rswk-swf Mundart (DE-588)4040725-1 gnd rswk-swf (DE-588)4143413-4 Aufsatzsammlung gnd-content Deutsch (DE-588)4113292-0 s Mundart (DE-588)4040725-1 s DE-604 Dialektologie (DE-588)4040728-7 s https://www.taylorfrancis.com/books/9780429275128 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Schiesser, W. E. Moving boundary PDE analysis biomedical applications in R HEALTH & FITNESS / Diseases / General bisacsh MEDICAL / Clinical Medicine bisacsh MEDICAL / Diseases bisacsh MEDICAL / Evidence-Based Medicine bisacsh MEDICAL / Internal Medicine bisacsh MATHEMATICS / Applied bisacsh MEDICAL / General bisacsh MEDICAL / Biotechnology bisacsh Atherosclerosis Neoplasticism Numerical analysis / Computer programs Deutsch (DE-588)4113292-0 gnd Dialektologie (DE-588)4040728-7 gnd Mundart (DE-588)4040725-1 gnd |
| subject_GND | (DE-588)4113292-0 (DE-588)4040728-7 (DE-588)4040725-1 (DE-588)4143413-4 |
| title | Moving boundary PDE analysis biomedical applications in R |
| title_auth | Moving boundary PDE analysis biomedical applications in R |
| title_exact_search | Moving boundary PDE analysis biomedical applications in R |
| title_exact_search_txtP | Moving boundary PDE analysis biomedical applications in R |
| title_full | Moving boundary PDE analysis biomedical applications in R by William E. Schiesser |
| title_fullStr | Moving boundary PDE analysis biomedical applications in R by William E. Schiesser |
| title_full_unstemmed | Moving boundary PDE analysis biomedical applications in R by William E. Schiesser |
| title_short | Moving boundary PDE analysis |
| title_sort | moving boundary pde analysis biomedical applications in r |
| title_sub | biomedical applications in R |
| topic | HEALTH & FITNESS / Diseases / General bisacsh MEDICAL / Clinical Medicine bisacsh MEDICAL / Diseases bisacsh MEDICAL / Evidence-Based Medicine bisacsh MEDICAL / Internal Medicine bisacsh MATHEMATICS / Applied bisacsh MEDICAL / General bisacsh MEDICAL / Biotechnology bisacsh Atherosclerosis Neoplasticism Numerical analysis / Computer programs Deutsch (DE-588)4113292-0 gnd Dialektologie (DE-588)4040728-7 gnd Mundart (DE-588)4040725-1 gnd |
| topic_facet | HEALTH & FITNESS / Diseases / General MEDICAL / Clinical Medicine MEDICAL / Diseases MEDICAL / Evidence-Based Medicine MEDICAL / Internal Medicine MATHEMATICS / Applied MEDICAL / General MEDICAL / Biotechnology Atherosclerosis Neoplasticism Numerical analysis / Computer programs Deutsch Dialektologie Mundart Aufsatzsammlung |
| url | https://www.taylorfrancis.com/books/9780429275128 |
| work_keys_str_mv | AT schiesserwe movingboundarypdeanalysisbiomedicalapplicationsinr |